468405 has 24 divisors (see below), whose sum is σ = 928512. Its totient is φ = 213984.

The previous prime is 468389. The next prime is 468421. The reversal of 468405 is 504864.

It is an interprime number because it is at equal distance from previous prime (468389) and next prime (468421).

It is not a de Polignac number, because 468405 - 2⁴ = 468389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2⁴⁶⁸⁴⁰⁵ is an apocalyptic number.

468405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468405 is a deficient number, since it is larger than the sum of its proper divisors (460107).

468405 is a wasteful number, since it uses less digits than its factorization.

468405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 468405 is about 684.4011981287. The cubic root of 468405 is about 77.6617502787.

The spelling of 468405 in words is "four hundred sixty-eight thousand, four hundred five".